CN104149397A

CN104149397A - Spherical cube

Info

Publication number: CN104149397A
Application number: CN201410357355.6A
Authority: CN
Inventors: 李平
Original assignee: Individual
Current assignee: Individual
Priority date: 2014-07-17
Filing date: 2014-07-17
Publication date: 2014-11-19

Abstract

The invention discloses a spherical cube and relates to the manufacture method of a cube. The spherical cube is composed of eight same elements; each element composed of two piece of congruent equilateral triangular paper; the first triangle covers the second triangle to form a hexagon; corners of the first triangle are folded to fit to the second triangle to form an overlapped equilateral triangle; the elements with folded inserting corners and folded inserted openings; one folded inserting corner of an element 1 is inserted into one folded inserted opening of an element 2, thus, the element 1 is connected to the element 2 in an inserted manner, an element 3 is connected to an element 4 in the inserted manner, the element 4 is connected to the element 1 in the inserted manner, and a concave circle is formed in surrounding and inserting manners. The elements are connected and inserted in the same manner, the spherical cube comprising six concave circles is formed by connecting and inserting. The design is novel, structure is ingenious, the spherical cube is spherical and in a cube shape, and the cube shape is provided in the sphere; the appearance is unique, attractive and fashion.

Description

Spherical cube

Technical field

The present invention relates to a kind of preparation method of solid figure, the preparation method of the spherical solid figure of especially a kind of papery.

Background technology

At present, a known spheroid tool spheroid feature, a cube tool cube feature, the rare solid figure that both have both at the same time.

Summary of the invention

In order to overcome an existing spheroid tool spheroid feature, a cube tool cube feature, the deficiency of the rare solid figure that both have both at the same time, the invention provides a kind of spherical cubical preparation method.

The technical solution adopted for the present invention to solve the technical problems is: spherical cube is by assembly 1, assembly 2 ... totally eight same components of assembly 8 combines; Assembly is that the first triangle and the combination of the second triangle form by two congruent equilateral triangle paper;

The first triangle with on the second triangle, do summit by angle to the vertical vertical line index line of opposite side, intersect at opposite side mid point with opposite side, three vertical line index lines intersect at the central point of isosceles triangle;

The first triangle is covered on the second triangle, and under a first leg-of-mutton angle, on a second leg-of-mutton angle, the first triangle and the second leg-of-mutton central point overlap, and corresponding vertical line index line coincidence, form regular hexagon; The first leg-of-mutton limit and the second leg-of-mutton limit intersect at both sides intersection point; 1/2 intersection point is got at 1/2 place between the first leg-of-mutton opposite side mid point and both sides intersection point; Take the first vertex of a triangle as the center of circle, and the 1/2 extremely nearest intersection point of the center of circle of take is done circular arc index line as radius, and with two points on the second leg-of-mutton limit, circular arc intersection point intersects; On the second one, triangle limit, between two circular arc intersection points, part is the chord length of described circular arc; The first gable in chord length is done chord length part fold line;

According to chord length part fold line, the first leg-of-mutton angle is folded with the second triangle and is affixed, form coincidence equilateral triangle; The middle part of the first triangle edges not folding, sideline, middle part, is divided into three angles and middle part hexagon by coincidence equilateral triangle; Insertion angle when three angles are assembly combined inserting, sideline, middle part place is the interlayer opening of coincidence equilateral triangle, is inserted into opening during assembly combined inserting; Circular arc index line is made to circular arc fold line;

Folding according to circular arc fold line, insert dihedral and become the folding angle of inserting, be inserted into opening and form and be foldingly inserted into opening, assembly completes;

One of assembly 1 folding of inserting angle plug-in package 2 is folded and is inserted into opening, and the folding opening that is inserted into that is inserted to assembly 1 folding angle one side of insertion overlaps with the folding opening that is inserted into of assembly 2, completes once and pegs graft;

Peg graft in this way, assembly 1 connecting element 2, assembly 2 connecting elements 3, assembly 3 connecting elements 4, assembly 4 connecting elements 1, surround and peg graft into a spill circle, in spill circle, are square; Eight assemblies are pegged graft in this way, peg graft into the spherical cube of six spill circles.

The invention has the beneficial effects as follows, modern design, structure is ingenious; Spherical cube is spherical, has again square shadow, the side of having in circle; Moulding is unique, fashion attractive in appearance.

Accompanying drawing explanation

Below in conjunction with drawings and Examples, the present invention is further described.

Fig. 1 is the equilateral triangle plane that is decorated with index line;

Fig. 2 is that the first triangle laminates into orthohexagonal plane with the second triangle;

Fig. 3 is coincidence equilateral triangle plane;

Fig. 4 is assembly stereogram;

Fig. 5 is two modular connector schematic diagrames;

Fig. 6 is spherical cube stereogram.

The specific embodiment

Spherical cube is by assembly 1, assembly 2 ... totally eight same components of assembly 8 combines; Assembly is that the first triangle and the combination of the second triangle form by two congruent equilateral triangle paper; Adopt solid line to add the fold line that circle represents reverse side doubling, while folding, the reverse side of paper is relative with reverse side folding; The solid line expression index line of adding some points; Arrow line represents the direction of pegging graft, and the dotted portion of arrow line represents insertion portion, and the solid line of arrow line partly represents not insertion portion;

The first triangle with on the second triangle, do summit by angle to the vertical vertical line index line of opposite side, intersect at opposite side mid point with opposite side, three vertical line index lines intersect at the central point of isosceles triangle; As Fig. 1;

The first triangle is covered on the second triangle, and under a first leg-of-mutton angle, on a second leg-of-mutton angle, the first triangle and the second leg-of-mutton central point overlap, and corresponding vertical line index line coincidence, form regular hexagon; The first leg-of-mutton limit and the second leg-of-mutton limit intersect at both sides intersection point; 1/2 intersection point is got at 1/2 place between the first leg-of-mutton opposite side mid point and both sides intersection point; Take the first vertex of a triangle as the center of circle, and the 1/2 extremely nearest intersection point of the center of circle of take is done circular arc index line as radius, and with two points on the second leg-of-mutton limit, circular arc intersection point intersects; On the second one, triangle limit, between two circular arc intersection points, part is the chord length of described circular arc; The first gable in chord length is done chord length part fold line; As Fig. 2;

According to chord length part fold line, the first leg-of-mutton angle is folded with the second triangle and is affixed, form coincidence equilateral triangle; The middle part of the first triangle edges not folding, sideline, middle part, is divided into three angles and middle part hexagon by coincidence equilateral triangle; Insertion angle when three angles are assembly combined inserting, sideline, middle part place is the interlayer opening of coincidence equilateral triangle, is inserted into opening during assembly combined inserting; Circular arc index line is made to circular arc fold line; As Fig. 3;

Folding according to circular arc fold line, insert dihedral and become the folding angle of inserting, be inserted into opening and form and be foldingly inserted into opening, assembly completes; As Fig. 4;

One of assembly 1 folding of inserting angle plug-in package 2 is folded and is inserted into opening, and the folding opening that is inserted into that is inserted to assembly 1 folding angle one side of insertion overlaps with the folding opening that is inserted into of assembly 2, completes once and pegs graft; As Fig. 5;

Peg graft in this way, assembly 1 connecting element 2, assembly 2 connecting elements 3, assembly 3 connecting elements 4, assembly 4 connecting elements 1, surround and peg graft into a spill circle, in spill circle, are square; Eight assemblies are pegged graft in this way, peg graft into the spherical cube of six spill circles; As Fig. 6.

Claims

1. a spherical cube, is characterized in that: spherical cube is by assembly 1, assembly 2 ... totally eight same components of assembly 8 combines; Assembly is that the first triangle and the combination of the second triangle form by two congruent equilateral triangle paper;